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Let U = {. . . -2, -1, 0, 1, 2, . . .} and A = {0, -1, -2, -3, . . .}. Find A'

Question

Let U = {. . . -2, -1, 0, 1, 2, . . .} and A = {0, -1, -2, -3, . . .}. Find A'

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Solution

A' is the complement of set A in U. This means it includes all elements that are in U but not in A.

Given that U = {. . . -2, -1, 0, 1, 2, . . .} and A = {0, -1, -2, -3, . . .}, we can see that A includes all negative integers and zero, while U includes all integers.

Therefore, the complement of A in U, denoted as A', would include all positive integers.

So, A' = {1, 2, 3, 4, ...}.

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